%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWC391+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 12:13:26 EDT 2023

% Result   : Theorem 10.83s 10.69s
% Output   : Proof 10.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC391+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 01:18:12 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 10.83/10.69  
% 10.83/10.69  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 10.83/10.69  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.83/10.69  %-----------------------------------------------------
% 10.83/10.69  ncf(matrix, plain, [(1978 ^ _230752) ^ [] : [-(ssList(1976 ^ []))], (1981 ^ _230752) ^ [] : [-(ssList(1979 ^ []))], (1984 ^ _230752) ^ [] : [-(ssList(1982 ^ []))], (1987 ^ _230752) ^ [] : [-(ssList(1985 ^ []))], (1989 ^ _230752) ^ [] : [-(1979 ^ [] = 1985 ^ [])], (1991 ^ _230752) ^ [] : [-(1976 ^ [] = 1982 ^ [])], (1993 ^ _230752) ^ [] : [-(1985 ^ [] = 1982 ^ [])], (1996 ^ _230752) ^ [] : [-(ssItem(1994 ^ []))], (1998 ^ _230752) ^ [] : [-(memberP(1976 ^ [], 1994 ^ []))], (2000 ^ _230752) ^ [] : [memberP(1979 ^ [], 1994 ^ [])], (246 ^ _230752) ^ [_238556, _238558, _238560, _238562] : [-(cons(_238562, _238558) = cons(_238560, _238556)), _238562 = _238560, _238558 = _238556], (256 ^ _230752) ^ [_238887, _238889] : [_238889 = _238887, -(hd(_238889) = hd(_238887))], (272 ^ _230752) ^ [_239444, _239446] : [_239446 = _239444, -(tl(_239446) = tl(_239444))], (262 ^ _230752) ^ [_239133, _239135, _239137, _239139] : [-(app(_239139, _239135) = app(_239137, _239133)), _239139 = _239137, _239135 = _239133], (2 ^ _230752) ^ [_230896] : [-(_230896 = _230896)], (4 ^ _230752) ^ [_231003, _231005] : [_231005 = _231003, -(_231003 = _231005)], (10 ^ _230752) ^ [_231207, _231209, _231211] : [-(_231211 = _231207), _231211 = _231209, _231209 = _231207], (20 ^ _230752) ^ [_231548, _231550, _231552, _231554] : [-(neq(_231552, _231548)), neq(_231554, _231550), _231554 = _231552, _231550 = _231548], (34 ^ _230752) ^ [_231964, _231966] : [-(singletonP(_231964)), _231966 = _231964, singletonP(_231966)], (44 ^ _230752) ^ [_232287, _232289, _232291, _232293] : [-(frontsegP(_232291, _232287)), frontsegP(_232293, _232289), _232293 = _232291, _232289 = _232287], (58 ^ _230752) ^ [_232731, _232733, _232735, _232737] : [-(rearsegP(_232735, _232731)), rearsegP(_232737, _232733), _232737 = _232735, _232733 = _232731], (72 ^ _230752) ^ [_233175, _233177, _233179, _233181] : [-(segmentP(_233179, _233175)), segmentP(_233181, _233177), _233181 = _233179, _233177 = _233175], (86 ^ _230752) ^ [_233591, _233593] : [-(cyclefreeP(_233591)), _233593 = _233591, cyclefreeP(_233593)], (96 ^ _230752) ^ [_233886, _233888] : [-(totalorderP(_233886)), _233888 = _233886, totalorderP(_233888)], (106 ^ _230752) ^ [_234181, _234183] : [-(strictorderP(_234181)), _234183 = _234181, strictorderP(_234183)], (116 ^ _230752) ^ [_234476, _234478] : [-(totalorderedP(_234476)), _234478 = _234476, totalorderedP(_234478)], (126 ^ _230752) ^ [_234771, _234773] : [-(strictorderedP(_234771)), _234773 = _234771, strictorderedP(_234773)], (136 ^ _230752) ^ [_235066, _235068] : [-(duplicatefreeP(_235066)), _235068 = _235066, duplicatefreeP(_235068)], (146 ^ _230752) ^ [_235361, _235363] : [-(equalelemsP(_235361)), _235363 = _235361, equalelemsP(_235363)], (156 ^ _230752) ^ [_235684, _235686, _235688, _235690] : [-(geq(_235688, _235684)), geq(_235690, _235686), _235690 = _235688, _235686 = _235684], (170 ^ _230752) ^ [_236128, _236130, _236132, _236134] : [-(lt(_236132, _236128)), lt(_236134, _236130), _236134 = _236132, _236130 = _236128], (184 ^ _230752) ^ [_236572, _236574, _236576, _236578] : [-(leq(_236576, _236572)), leq(_236578, _236574), _236578 = _236576, _236574 = _236572], (198 ^ _230752) ^ [_237016, _237018, _237020, _237022] : [-(gt(_237020, _237016)), gt(_237022, _237018), _237022 = _237020, _237018 = _237016], (212 ^ _230752) ^ [_237432, _237434] : [-(ssList(_237432)), _237434 = _237432, ssList(_237434)], (222 ^ _230752) ^ [_237727, _237729] : [-(ssItem(_237727)), _237729 = _237727, ssItem(_237729)], (232 ^ _230752) ^ [_238030, _238032, _238034, _238036] : [-(memberP(_238034, _238030)), memberP(_238036, _238032), _238036 = _238034, _238032 = _238030], (278 ^ _230752) ^ [_239666] : [ssItem(_239666), 281 ^ _230752 : [(282 ^ _230752) ^ [_239804] : [ssItem(_239804), 285 ^ _230752 : [(286 ^ _230752) ^ [] : [neq(_239666, _239804), _239666 = _239804], (292 ^ _230752) ^ [] : [-(_239666 = _239804), -(neq(_239666, _239804))]]]]], (299 ^ _230752) ^ [] : [-(ssItem(297 ^ []))], (302 ^ _230752) ^ [] : [-(ssItem(300 ^ []))], (304 ^ _230752) ^ [] : [297 ^ [] = 300 ^ []], (306 ^ _230752) ^ [_240517] : [ssList(_240517), 309 ^ _230752 : [(310 ^ _230752) ^ [_240679] : [ssItem(_240679), 313 ^ _230752 : [(314 ^ _230752) ^ [] : [memberP(_240517, _240679), 318 ^ _230752 : [(319 ^ _230752) ^ [] : [-(ssList(317 ^ [_240517, _240679]))], (322 ^ _230752) ^ [] : [-(ssList(320 ^ [_240517, _240679]))], (324 ^ _230752) ^ [] : [-(app(317 ^ [_240517, _240679], cons(_240679, 320 ^ [_240517, _240679])) = _240517)]]], (326 ^ _230752) ^ [] : [-(memberP(_240517, _240679)), 327 ^ _230752 : [(328 ^ _230752) ^ [_241327] : [ssList(_241327), 331 ^ _230752 : [(332 ^ _230752) ^ [_241475] : [ssList(_241475), app(_241327, cons(_240679, _241475)) = _240517]]]]]]]]], (340 ^ _230752) ^ [_241766] : [ssList(_241766), 343 ^ _230752 : [(344 ^ _230752) ^ [] : [singletonP(_241766), 348 ^ _230752 : [(349 ^ _230752) ^ [] : [-(ssItem(347 ^ [_241766]))], (351 ^ _230752) ^ [] : [-(cons(347 ^ [_241766], nil) = _241766)]]], (353 ^ _230752) ^ [] : [-(singletonP(_241766)), 354 ^ _230752 : [(355 ^ _230752) ^ [_242215] : [ssItem(_242215), cons(_242215, nil) = _241766]]]]], (363 ^ _230752) ^ [_242471] : [ssList(_242471), 366 ^ _230752 : [(367 ^ _230752) ^ [_242620] : [ssList(_242620), 370 ^ _230752 : [(371 ^ _230752) ^ [] : [frontsegP(_242471, _242620), 375 ^ _230752 : [(376 ^ _230752) ^ [] : [-(ssList(374 ^ [_242471, _242620]))], (378 ^ _230752) ^ [] : [-(app(_242620, 374 ^ [_242471, _242620]) = _242471)]]], (380 ^ _230752) ^ [] : [-(frontsegP(_242471, _242620)), 381 ^ _230752 : [(382 ^ _230752) ^ [_243095] : [ssList(_243095), app(_242620, _243095) = _242471]]]]]]], (390 ^ _230752) ^ [_243367] : [ssList(_243367), 393 ^ _230752 : [(394 ^ _230752) ^ [_243516] : [ssList(_243516), 397 ^ _230752 : [(398 ^ _230752) ^ [] : [rearsegP(_243367, _243516), 402 ^ _230752 : [(403 ^ _230752) ^ [] : [-(ssList(401 ^ [_243367, _243516]))], (405 ^ _230752) ^ [] : [-(app(401 ^ [_243367, _243516], _243516) = _243367)]]], (407 ^ _230752) ^ [] : [-(rearsegP(_243367, _243516)), 408 ^ _230752 : [(409 ^ _230752) ^ [_243991] : [ssList(_243991), app(_243991, _243516) = _243367]]]]]]], (417 ^ _230752) ^ [_244263] : [ssList(_244263), 420 ^ _230752 : [(421 ^ _230752) ^ [_244425] : [ssList(_244425), 424 ^ _230752 : [(425 ^ _230752) ^ [] : [segmentP(_244263, _244425), 429 ^ _230752 : [(430 ^ _230752) ^ [] : [-(ssList(428 ^ [_244263, _244425]))], (433 ^ _230752) ^ [] : [-(ssList(431 ^ [_244263, _244425]))], (435 ^ _230752) ^ [] : [-(app(app(428 ^ [_244263, _244425], _244425), 431 ^ [_244263, _244425]) = _244263)]]], (437 ^ _230752) ^ [] : [-(segmentP(_244263, _244425)), 438 ^ _230752 : [(439 ^ _230752) ^ [_245073] : [ssList(_245073), 442 ^ _230752 : [(443 ^ _230752) ^ [_245221] : [ssList(_245221), app(app(_245073, _244425), _245221) = _244263]]]]]]]]], (451 ^ _230752) ^ [_245512] : [ssList(_245512), 454 ^ _230752 : [(489 ^ _230752) ^ [] : [491 ^ _230752 : [(492 ^ _230752) ^ [] : [-(ssItem(490 ^ [_245512]))], (495 ^ _230752) ^ [] : [-(ssItem(493 ^ [_245512]))], (498 ^ _230752) ^ [] : [-(ssList(496 ^ [_245512]))], (501 ^ _230752) ^ [] : [-(ssList(499 ^ [_245512]))], (504 ^ _230752) ^ [] : [-(ssList(502 ^ [_245512]))], (506 ^ _230752) ^ [] : [-(app(app(496 ^ [_245512], cons(490 ^ [_245512], 499 ^ [_245512])), cons(493 ^ [_245512], 502 ^ [_245512])) = _245512)], (508 ^ _230752) ^ [] : [-(leq(490 ^ [_245512], 493 ^ [_245512]))], (510 ^ _230752) ^ [] : [-(leq(493 ^ [_245512], 490 ^ [_245512]))]], -(cyclefreeP(_245512))], (455 ^ _230752) ^ [] : [cyclefreeP(_245512), 458 ^ _230752 : [(459 ^ _230752) ^ [_245816] : [ssItem(_245816), 462 ^ _230752 : [(463 ^ _230752) ^ [_246008] : [ssItem(_246008), 466 ^ _230752 : [(467 ^ _230752) ^ [_246196] : [ssList(_246196), 470 ^ _230752 : [(471 ^ _230752) ^ [_246380] : [ssList(_246380), 474 ^ _230752 : [(475 ^ _230752) ^ [_246560] : [ssList(_246560), app(app(_246196, cons(_245816, _246380)), cons(_246008, _246560)) = _245512, leq(_245816, _246008), leq(_246008, _245816)]]]]]]]]]]]]], (514 ^ _230752) ^ [_248298] : [ssList(_248298), 517 ^ _230752 : [(552 ^ _230752) ^ [] : [554 ^ _230752 : [(555 ^ _230752) ^ [] : [-(ssItem(553 ^ [_248298]))], (558 ^ _230752) ^ [] : [-(ssItem(556 ^ [_248298]))], (561 ^ _230752) ^ [] : [-(ssList(559 ^ [_248298]))], (564 ^ _230752) ^ [] : [-(ssList(562 ^ [_248298]))], (567 ^ _230752) ^ [] : [-(ssList(565 ^ [_248298]))], (569 ^ _230752) ^ [] : [-(app(app(559 ^ [_248298], cons(553 ^ [_248298], 562 ^ [_248298])), cons(556 ^ [_248298], 565 ^ [_248298])) = _248298)], (571 ^ _230752) ^ [] : [leq(553 ^ [_248298], 556 ^ [_248298])], (573 ^ _230752) ^ [] : [leq(556 ^ [_248298], 553 ^ [_248298])]], -(totalorderP(_248298))], (518 ^ _230752) ^ [] : [totalorderP(_248298), 521 ^ _230752 : [(522 ^ _230752) ^ [_248600] : [ssItem(_248600), 525 ^ _230752 : [(526 ^ _230752) ^ [_248790] : [ssItem(_248790), 529 ^ _230752 : [(530 ^ _230752) ^ [_248976] : [ssList(_248976), 533 ^ _230752 : [(534 ^ _230752) ^ [_249158] : [ssList(_249158), 537 ^ _230752 : [(538 ^ _230752) ^ [_249336] : [ssList(_249336), app(app(_248976, cons(_248600, _249158)), cons(_248790, _249336)) = _248298, -(leq(_248600, _248790)), -(leq(_248790, _248600))]]]]]]]]]]]]], (577 ^ _230752) ^ [_251062] : [ssList(_251062), 580 ^ _230752 : [(615 ^ _230752) ^ [] : [617 ^ _230752 : [(618 ^ _230752) ^ [] : [-(ssItem(616 ^ [_251062]))], (621 ^ _230752) ^ [] : [-(ssItem(619 ^ [_251062]))], (624 ^ _230752) ^ [] : [-(ssList(622 ^ [_251062]))], (627 ^ _230752) ^ [] : [-(ssList(625 ^ [_251062]))], (630 ^ _230752) ^ [] : [-(ssList(628 ^ [_251062]))], (632 ^ _230752) ^ [] : [-(app(app(622 ^ [_251062], cons(616 ^ [_251062], 625 ^ [_251062])), cons(619 ^ [_251062], 628 ^ [_251062])) = _251062)], (634 ^ _230752) ^ [] : [lt(616 ^ [_251062], 619 ^ [_251062])], (636 ^ _230752) ^ [] : [lt(619 ^ [_251062], 616 ^ [_251062])]], -(strictorderP(_251062))], (581 ^ _230752) ^ [] : [strictorderP(_251062), 584 ^ _230752 : [(585 ^ _230752) ^ [_251364] : [ssItem(_251364), 588 ^ _230752 : [(589 ^ _230752) ^ [_251554] : [ssItem(_251554), 592 ^ _230752 : [(593 ^ _230752) ^ [_251740] : [ssList(_251740), 596 ^ _230752 : [(597 ^ _230752) ^ [_251922] : [ssList(_251922), 600 ^ _230752 : [(601 ^ _230752) ^ [_252100] : [ssList(_252100), app(app(_251740, cons(_251364, _251922)), cons(_251554, _252100)) = _251062, -(lt(_251364, _251554)), -(lt(_251554, _251364))]]]]]]]]]]]]], (640 ^ _230752) ^ [_253826] : [ssList(_253826), 643 ^ _230752 : [(674 ^ _230752) ^ [] : [676 ^ _230752 : [(677 ^ _230752) ^ [] : [-(ssItem(675 ^ [_253826]))], (680 ^ _230752) ^ [] : [-(ssItem(678 ^ [_253826]))], (683 ^ _230752) ^ [] : [-(ssList(681 ^ [_253826]))], (686 ^ _230752) ^ [] : [-(ssList(684 ^ [_253826]))], (689 ^ _230752) ^ [] : [-(ssList(687 ^ [_253826]))], (691 ^ _230752) ^ [] : [-(app(app(681 ^ [_253826], cons(675 ^ [_253826], 684 ^ [_253826])), cons(678 ^ [_253826], 687 ^ [_253826])) = _253826)], (693 ^ _230752) ^ [] : [leq(675 ^ [_253826], 678 ^ [_253826])]], -(totalorderedP(_253826))], (644 ^ _230752) ^ [] : [totalorderedP(_253826), 647 ^ _230752 : [(648 ^ _230752) ^ [_254122] : [ssItem(_254122), 651 ^ _230752 : [(652 ^ _230752) ^ [_254306] : [ssItem(_254306), 655 ^ _230752 : [(656 ^ _230752) ^ [_254486] : [ssList(_254486), 659 ^ _230752 : [(660 ^ _230752) ^ [_254662] : [ssList(_254662), 663 ^ _230752 : [(664 ^ _230752) ^ [_254834] : [ssList(_254834), app(app(_254486, cons(_254122, _254662)), cons(_254306, _254834)) = _253826, -(leq(_254122, _254306))]]]]]]]]]]]]], (697 ^ _230752) ^ [_256314] : [ssList(_256314), 700 ^ _230752 : [(731 ^ _230752) ^ [] : [733 ^ _230752 : [(734 ^ _230752) ^ [] : [-(ssItem(732 ^ [_256314]))], (737 ^ _230752) ^ [] : [-(ssItem(735 ^ [_256314]))], (740 ^ _230752) ^ [] : [-(ssList(738 ^ [_256314]))], (743 ^ _230752) ^ [] : [-(ssList(741 ^ [_256314]))], (746 ^ _230752) ^ [] : [-(ssList(744 ^ [_256314]))], (748 ^ _230752) ^ [] : [-(app(app(738 ^ [_256314], cons(732 ^ [_256314], 741 ^ [_256314])), cons(735 ^ [_256314], 744 ^ [_256314])) = _256314)], (750 ^ _230752) ^ [] : [lt(732 ^ [_256314], 735 ^ [_256314])]], -(strictorderedP(_256314))], (701 ^ _230752) ^ [] : [strictorderedP(_256314), 704 ^ _230752 : [(705 ^ _230752) ^ [_256610] : [ssItem(_256610), 708 ^ _230752 : [(709 ^ _230752) ^ [_256794] : [ssItem(_256794), 712 ^ _230752 : [(713 ^ _230752) ^ [_256974] : [ssList(_256974), 716 ^ _230752 : [(717 ^ _230752) ^ [_257150] : [ssList(_257150), 720 ^ _230752 : [(721 ^ _230752) ^ [_257322] : [ssList(_257322), app(app(_256974, cons(_256610, _257150)), cons(_256794, _257322)) = _256314, -(lt(_256610, _256794))]]]]]]]]]]]]], (754 ^ _230752) ^ [_258802] : [ssList(_258802), 757 ^ _230752 : [(788 ^ _230752) ^ [] : [790 ^ _230752 : [(791 ^ _230752) ^ [] : [-(ssItem(789 ^ [_258802]))], (794 ^ _230752) ^ [] : [-(ssItem(792 ^ [_258802]))], (797 ^ _230752) ^ [] : [-(ssList(795 ^ [_258802]))], (800 ^ _230752) ^ [] : [-(ssList(798 ^ [_258802]))], (803 ^ _230752) ^ [] : [-(ssList(801 ^ [_258802]))], (805 ^ _230752) ^ [] : [-(app(app(795 ^ [_258802], cons(789 ^ [_258802], 798 ^ [_258802])), cons(792 ^ [_258802], 801 ^ [_258802])) = _258802)], (807 ^ _230752) ^ [] : [-(789 ^ [_258802] = 792 ^ [_258802])]], -(duplicatefreeP(_258802))], (758 ^ _230752) ^ [] : [duplicatefreeP(_258802), 761 ^ _230752 : [(762 ^ _230752) ^ [_259100] : [ssItem(_259100), 765 ^ _230752 : [(766 ^ _230752) ^ [_259286] : [ssItem(_259286), 769 ^ _230752 : [(770 ^ _230752) ^ [_259468] : [ssList(_259468), 773 ^ _230752 : [(774 ^ _230752) ^ [_259646] : [ssList(_259646), 777 ^ _230752 : [(778 ^ _230752) ^ [_259820] : [ssList(_259820), app(app(_259468, cons(_259100, _259646)), cons(_259286, _259820)) = _258802, _259100 = _259286]]]]]]]]]]]]], (811 ^ _230752) ^ [_261312] : [ssList(_261312), 814 ^ _230752 : [(841 ^ _230752) ^ [] : [843 ^ _230752 : [(844 ^ _230752) ^ [] : [-(ssItem(842 ^ [_261312]))], (847 ^ _230752) ^ [] : [-(ssItem(845 ^ [_261312]))], (850 ^ _230752) ^ [] : [-(ssList(848 ^ [_261312]))], (853 ^ _230752) ^ [] : [-(ssList(851 ^ [_261312]))], (855 ^ _230752) ^ [] : [-(app(848 ^ [_261312], cons(842 ^ [_261312], cons(845 ^ [_261312], 851 ^ [_261312]))) = _261312)], (857 ^ _230752) ^ [] : [842 ^ [_261312] = 845 ^ [_261312]]], -(equalelemsP(_261312))], (815 ^ _230752) ^ [] : [equalelemsP(_261312), 818 ^ _230752 : [(819 ^ _230752) ^ [_261595] : [ssItem(_261595), 822 ^ _230752 : [(823 ^ _230752) ^ [_261766] : [ssItem(_261766), 826 ^ _230752 : [(827 ^ _230752) ^ [_261933] : [ssList(_261933), 830 ^ _230752 : [(831 ^ _230752) ^ [_262096] : [ssList(_262096), app(_261933, cons(_261595, cons(_261766, _262096))) = _261312, -(_261595 = _261766)]]]]]]]]]]], (861 ^ _230752) ^ [_263329] : [ssList(_263329), 864 ^ _230752 : [(865 ^ _230752) ^ [_263467] : [ssList(_263467), 868 ^ _230752 : [(869 ^ _230752) ^ [] : [neq(_263329, _263467), _263329 = _263467], (875 ^ _230752) ^ [] : [-(_263329 = _263467), -(neq(_263329, _263467))]]]]], (881 ^ _230752) ^ [_263920] : [ssList(_263920), 884 ^ _230752 : [(885 ^ _230752) ^ [_264052] : [ssItem(_264052), -(ssList(cons(_264052, _263920)))]]], (891 ^ _230752) ^ [] : [-(ssList(nil))], (893 ^ _230752) ^ [_264310] : [ssList(_264310), 896 ^ _230752 : [(897 ^ _230752) ^ [_264445] : [ssItem(_264445), cons(_264445, _264310) = _264310]]], (903 ^ _230752) ^ [_264653] : [ssList(_264653), 906 ^ _230752 : [(907 ^ _230752) ^ [_264821] : [ssList(_264821), 910 ^ _230752 : [(911 ^ _230752) ^ [_264985] : [ssItem(_264985), 914 ^ _230752 : [(915 ^ _230752) ^ [_265145] : [ssItem(_265145), cons(_264985, _264653) = cons(_265145, _264821), 922 ^ _230752 : [(923 ^ _230752) ^ [] : [-(_264985 = _265145)], (925 ^ _230752) ^ [] : [-(_264821 = _264653)]]]]]]]]], (927 ^ _230752) ^ [_265560] : [ssList(_265560), -(nil = _265560), 935 ^ _230752 : [(936 ^ _230752) ^ [] : [-(ssList(934 ^ [_265560]))], (939 ^ _230752) ^ [] : [-(ssItem(937 ^ [_265560]))], (941 ^ _230752) ^ [] : [-(cons(937 ^ [_265560], 934 ^ [_265560]) = _265560)]]], (943 ^ _230752) ^ [_266124] : [ssList(_266124), 946 ^ _230752 : [(947 ^ _230752) ^ [_266259] : [ssItem(_266259), nil = cons(_266259, _266124)]]], (953 ^ _230752) ^ [_266467] : [ssList(_266467), -(nil = _266467), -(ssItem(hd(_266467)))], (963 ^ _230752) ^ [_266745] : [ssList(_266745), 966 ^ _230752 : [(967 ^ _230752) ^ [_266880] : [ssItem(_266880), -(hd(cons(_266880, _266745)) = _266880)]]], (973 ^ _230752) ^ [_267091] : [ssList(_267091), -(nil = _267091), -(ssList(tl(_267091)))], (983 ^ _230752) ^ [_267369] : [ssList(_267369), 986 ^ _230752 : [(987 ^ _230752) ^ [_267504] : [ssItem(_267504), -(tl(cons(_267504, _267369)) = _267369)]]], (993 ^ _230752) ^ [_267715] : [ssList(_267715), 996 ^ _230752 : [(997 ^ _230752) ^ [_267847] : [ssList(_267847), -(ssList(app(_267715, _267847)))]]], (1003 ^ _230752) ^ [_268052] : [ssList(_268052), 1006 ^ _230752 : [(1007 ^ _230752) ^ [_268204] : [ssList(_268204), 1010 ^ _230752 : [(1011 ^ _230752) ^ [_268352] : [ssItem(_268352), -(cons(_268352, app(_268204, _268052)) = app(cons(_268352, _268204), _268052))]]]]], (1017 ^ _230752) ^ [_268590] : [ssList(_268590), -(app(nil, _268590) = _268590)], (1023 ^ _230752) ^ [_268784] : [ssItem(_268784), 1026 ^ _230752 : [(1027 ^ _230752) ^ [_268926] : [ssItem(_268926), -(_268784 = _268926), leq(_268784, _268926), leq(_268926, _268784)]]], (1041 ^ _230752) ^ [_269305] : [ssItem(_269305), 1044 ^ _230752 : [(1045 ^ _230752) ^ [_269457] : [ssItem(_269457), 1048 ^ _230752 : [(1049 ^ _230752) ^ [_269605] : [ssItem(_269605), -(leq(_269305, _269605)), leq(_269305, _269457), leq(_269457, _269605)]]]]], (1063 ^ _230752) ^ [_270005] : [ssItem(_270005), -(leq(_270005, _270005))], (1069 ^ _230752) ^ [_270193] : [ssItem(_270193), 1072 ^ _230752 : [(1073 ^ _230752) ^ [_270329] : [ssItem(_270329), 1076 ^ _230752 : [(1077 ^ _230752) ^ [] : [geq(_270193, _270329), -(leq(_270329, _270193))], (1083 ^ _230752) ^ [] : [leq(_270329, _270193), -(geq(_270193, _270329))]]]]], (1089 ^ _230752) ^ [_270780] : [ssItem(_270780), 1092 ^ _230752 : [(1093 ^ _230752) ^ [_270918] : [ssItem(_270918), lt(_270780, _270918), lt(_270918, _270780)]]], (1103 ^ _230752) ^ [_271209] : [ssItem(_271209), 1106 ^ _230752 : [(1107 ^ _230752) ^ [_271361] : [ssItem(_271361), 1110 ^ _230752 : [(1111 ^ _230752) ^ [_271509] : [ssItem(_271509), -(lt(_271209, _271509)), lt(_271209, _271361), lt(_271361, _271509)]]]]], (1125 ^ _230752) ^ [_271909] : [ssItem(_271909), 1128 ^ _230752 : [(1129 ^ _230752) ^ [_272045] : [ssItem(_272045), 1132 ^ _230752 : [(1133 ^ _230752) ^ [] : [gt(_271909, _272045), -(lt(_272045, _271909))], (1139 ^ _230752) ^ [] : [lt(_272045, _271909), -(gt(_271909, _272045))]]]]], (1145 ^ _230752) ^ [_272496] : [ssItem(_272496), 1148 ^ _230752 : [(1149 ^ _230752) ^ [_272651] : [ssList(_272651), 1152 ^ _230752 : [(1153 ^ _230752) ^ [_272802] : [ssList(_272802), 1156 ^ _230752 : [(1167 ^ _230752) ^ [] : [1168 ^ _230752 : [(1169 ^ _230752) ^ [] : [memberP(_272651, _272496)], (1171 ^ _230752) ^ [] : [memberP(_272802, _272496)]], -(memberP(app(_272651, _272802), _272496))], (1157 ^ _230752) ^ [] : [memberP(app(_272651, _272802), _272496), -(memberP(_272651, _272496)), -(memberP(_272802, _272496))]]]]]]], (1175 ^ _230752) ^ [_273449] : [ssItem(_273449), 1178 ^ _230752 : [(1179 ^ _230752) ^ [_273604] : [ssItem(_273604), 1182 ^ _230752 : [(1183 ^ _230752) ^ [_273755] : [ssList(_273755), 1186 ^ _230752 : [(1197 ^ _230752) ^ [] : [1198 ^ _230752 : [(1199 ^ _230752) ^ [] : [_273449 = _273604], (1201 ^ _230752) ^ [] : [memberP(_273755, _273449)]], -(memberP(cons(_273604, _273755), _273449))], (1187 ^ _230752) ^ [] : [memberP(cons(_273604, _273755), _273449), -(_273449 = _273604), -(memberP(_273755, _273449))]]]]]]], (1205 ^ _230752) ^ [_274402] : [ssItem(_274402), memberP(nil, _274402)], (1211 ^ _230752) ^ [] : [singletonP(nil)], (1213 ^ _230752) ^ [_274643] : [ssList(_274643), 1216 ^ _230752 : [(1217 ^ _230752) ^ [_274795] : [ssList(_274795), 1220 ^ _230752 : [(1221 ^ _230752) ^ [_274943] : [ssList(_274943), -(frontsegP(_274643, _274943)), frontsegP(_274643, _274795), frontsegP(_274795, _274943)]]]]], (1235 ^ _230752) ^ [_275343] : [ssList(_275343), 1238 ^ _230752 : [(1239 ^ _230752) ^ [_275485] : [ssList(_275485), -(_275343 = _275485), frontsegP(_275343, _275485), frontsegP(_275485, _275343)]]], (1253 ^ _230752) ^ [_275864] : [ssList(_275864), -(frontsegP(_275864, _275864))], (1259 ^ _230752) ^ [_276052] : [ssList(_276052), 1262 ^ _230752 : [(1263 ^ _230752) ^ [_276201] : [ssList(_276201), 1266 ^ _230752 : [(1267 ^ _230752) ^ [_276346] : [ssList(_276346), frontsegP(_276052, _276201), -(frontsegP(app(_276052, _276346), _276201))]]]]], (1277 ^ _230752) ^ [_276659] : [ssItem(_276659), 1280 ^ _230752 : [(1281 ^ _230752) ^ [_276827] : [ssItem(_276827), 1284 ^ _230752 : [(1285 ^ _230752) ^ [_276991] : [ssList(_276991), 1288 ^ _230752 : [(1289 ^ _230752) ^ [_277151] : [ssList(_277151), 1292 ^ _230752 : [(1293 ^ _230752) ^ [] : [frontsegP(cons(_276659, _276991), cons(_276827, _277151)), 1296 ^ _230752 : [(1297 ^ _230752) ^ [] : [-(_276659 = _276827)], (1299 ^ _230752) ^ [] : [-(frontsegP(_276991, _277151))]]], (1301 ^ _230752) ^ [] : [-(frontsegP(cons(_276659, _276991), cons(_276827, _277151))), _276659 = _276827, frontsegP(_276991, _277151)]]]]]]]]], (1311 ^ _230752) ^ [_277836] : [ssList(_277836), -(frontsegP(_277836, nil))], (1317 ^ _230752) ^ [_278024] : [ssList(_278024), 1320 ^ _230752 : [(1321 ^ _230752) ^ [] : [frontsegP(nil, _278024), -(nil = _278024)], (1327 ^ _230752) ^ [] : [nil = _278024, -(frontsegP(nil, _278024))]]], (1333 ^ _230752) ^ [_278452] : [ssList(_278452), 1336 ^ _230752 : [(1337 ^ _230752) ^ [_278604] : [ssList(_278604), 1340 ^ _230752 : [(1341 ^ _230752) ^ [_278752] : [ssList(_278752), -(rearsegP(_278452, _278752)), rearsegP(_278452, _278604), rearsegP(_278604, _278752)]]]]], (1355 ^ _230752) ^ [_279152] : [ssList(_279152), 1358 ^ _230752 : [(1359 ^ _230752) ^ [_279294] : [ssList(_279294), -(_279152 = _279294), rearsegP(_279152, _279294), rearsegP(_279294, _279152)]]], (1373 ^ _230752) ^ [_279673] : [ssList(_279673), -(rearsegP(_279673, _279673))], (1379 ^ _230752) ^ [_279861] : [ssList(_279861), 1382 ^ _230752 : [(1383 ^ _230752) ^ [_280010] : [ssList(_280010), 1386 ^ _230752 : [(1387 ^ _230752) ^ [_280155] : [ssList(_280155), rearsegP(_279861, _280010), -(rearsegP(app(_280155, _279861), _280010))]]]]], (1397 ^ _230752) ^ [_280468] : [ssList(_280468), -(rearsegP(_280468, nil))], (1403 ^ _230752) ^ [_280656] : [ssList(_280656), 1406 ^ _230752 : [(1407 ^ _230752) ^ [] : [rearsegP(nil, _280656), -(nil = _280656)], (1413 ^ _230752) ^ [] : [nil = _280656, -(rearsegP(nil, _280656))]]], (1419 ^ _230752) ^ [_281084] : [ssList(_281084), 1422 ^ _230752 : [(1423 ^ _230752) ^ [_281236] : [ssList(_281236), 1426 ^ _230752 : [(1427 ^ _230752) ^ [_281384] : [ssList(_281384), -(segmentP(_281084, _281384)), segmentP(_281084, _281236), segmentP(_281236, _281384)]]]]], (1441 ^ _230752) ^ [_281784] : [ssList(_281784), 1444 ^ _230752 : [(1445 ^ _230752) ^ [_281926] : [ssList(_281926), -(_281784 = _281926), segmentP(_281784, _281926), segmentP(_281926, _281784)]]], (1459 ^ _230752) ^ [_282305] : [ssList(_282305), -(segmentP(_282305, _282305))], (1465 ^ _230752) ^ [_282493] : [ssList(_282493), 1468 ^ _230752 : [(1469 ^ _230752) ^ [_282655] : [ssList(_282655), 1472 ^ _230752 : [(1473 ^ _230752) ^ [_282813] : [ssList(_282813), 1476 ^ _230752 : [(1477 ^ _230752) ^ [_282967] : [ssList(_282967), segmentP(_282493, _282655), -(segmentP(app(app(_282813, _282493), _282967), _282655))]]]]]]], (1487 ^ _230752) ^ [_283303] : [ssList(_283303), -(segmentP(_283303, nil))], (1493 ^ _230752) ^ [_283491] : [ssList(_283491), 1496 ^ _230752 : [(1497 ^ _230752) ^ [] : [segmentP(nil, _283491), -(nil = _283491)], (1503 ^ _230752) ^ [] : [nil = _283491, -(segmentP(nil, _283491))]]], (1509 ^ _230752) ^ [_283919] : [ssItem(_283919), -(cyclefreeP(cons(_283919, nil)))], (1515 ^ _230752) ^ [] : [-(cyclefreeP(nil))], (1517 ^ _230752) ^ [_284164] : [ssItem(_284164), -(totalorderP(cons(_284164, nil)))], (1523 ^ _230752) ^ [] : [-(totalorderP(nil))], (1525 ^ _230752) ^ [_284409] : [ssItem(_284409), -(strictorderP(cons(_284409, nil)))], (1531 ^ _230752) ^ [] : [-(strictorderP(nil))], (1533 ^ _230752) ^ [_284654] : [ssItem(_284654), -(totalorderedP(cons(_284654, nil)))], (1539 ^ _230752) ^ [] : [-(totalorderedP(nil))], (1541 ^ _230752) ^ [_284899] : [ssItem(_284899), 1544 ^ _230752 : [(1545 ^ _230752) ^ [_285058] : [ssList(_285058), 1548 ^ _230752 : [(1549 ^ _230752) ^ [] : [totalorderedP(cons(_284899, _285058)), -(nil = _285058), 1556 ^ _230752 : [(1557 ^ _230752) ^ [] : [nil = _285058], (1559 ^ _230752) ^ [] : [-(totalorderedP(_285058))], (1561 ^ _230752) ^ [] : [-(leq(_284899, hd(_285058)))]]], (1563 ^ _230752) ^ [] : [-(totalorderedP(cons(_284899, _285058))), 1564 ^ _230752 : [(1565 ^ _230752) ^ [] : [nil = _285058], (1567 ^ _230752) ^ [] : [-(nil = _285058), totalorderedP(_285058), leq(_284899, hd(_285058))]]]]]]], (1579 ^ _230752) ^ [_285993] : [ssItem(_285993), -(strictorderedP(cons(_285993, nil)))], (1585 ^ _230752) ^ [] : [-(strictorderedP(nil))], (1587 ^ _230752) ^ [_286238] : [ssItem(_286238), 1590 ^ _230752 : [(1591 ^ _230752) ^ [_286397] : [ssList(_286397), 1594 ^ _230752 : [(1595 ^ _230752) ^ [] : [strictorderedP(cons(_286238, _286397)), -(nil = _286397), 1602 ^ _230752 : [(1603 ^ _230752) ^ [] : [nil = _286397], (1605 ^ _230752) ^ [] : [-(strictorderedP(_286397))], (1607 ^ _230752) ^ [] : [-(lt(_286238, hd(_286397)))]]], (1609 ^ _230752) ^ [] : [-(strictorderedP(cons(_286238, _286397))), 1610 ^ _230752 : [(1611 ^ _230752) ^ [] : [nil = _286397], (1613 ^ _230752) ^ [] : [-(nil = _286397), strictorderedP(_286397), lt(_286238, hd(_286397))]]]]]]], (1625 ^ _230752) ^ [_287332] : [ssItem(_287332), -(duplicatefreeP(cons(_287332, nil)))], (1631 ^ _230752) ^ [] : [-(duplicatefreeP(nil))], (1633 ^ _230752) ^ [_287577] : [ssItem(_287577), -(equalelemsP(cons(_287577, nil)))], (1639 ^ _230752) ^ [] : [-(equalelemsP(nil))], (1641 ^ _230752) ^ [_287822] : [ssList(_287822), -(nil = _287822), 1649 ^ _230752 : [(1650 ^ _230752) ^ [] : [-(ssItem(1648 ^ [_287822]))], (1652 ^ _230752) ^ [] : [-(hd(_287822) = 1648 ^ [_287822])]]], (1654 ^ _230752) ^ [_288236] : [ssList(_288236), -(nil = _288236), 1662 ^ _230752 : [(1663 ^ _230752) ^ [] : [-(ssList(1661 ^ [_288236]))], (1665 ^ _230752) ^ [] : [-(tl(_288236) = 1661 ^ [_288236])]]], (1667 ^ _230752) ^ [_288650] : [ssList(_288650), 1670 ^ _230752 : [(1671 ^ _230752) ^ [_288816] : [ssList(_288816), -(_288816 = _288650), -(nil = _288816), -(nil = _288650), hd(_288816) = hd(_288650), tl(_288816) = tl(_288650)]]], (1693 ^ _230752) ^ [_289395] : [ssList(_289395), -(nil = _289395), -(cons(hd(_289395), tl(_289395)) = _289395)], (1703 ^ _230752) ^ [_289685] : [ssList(_289685), 1706 ^ _230752 : [(1707 ^ _230752) ^ [_289837] : [ssList(_289837), 1710 ^ _230752 : [(1711 ^ _230752) ^ [_289985] : [ssList(_289985), app(_289985, _289837) = app(_289685, _289837), -(_289985 = _289685)]]]]], (1721 ^ _230752) ^ [_290304] : [ssList(_290304), 1724 ^ _230752 : [(1725 ^ _230752) ^ [_290456] : [ssList(_290456), 1728 ^ _230752 : [(1729 ^ _230752) ^ [_290604] : [ssList(_290604), app(_290456, _290604) = app(_290456, _290304), -(_290604 = _290304)]]]]], (1739 ^ _230752) ^ [_290923] : [ssList(_290923), 1742 ^ _230752 : [(1743 ^ _230752) ^ [_291062] : [ssItem(_291062), -(cons(_291062, _290923) = app(cons(_291062, nil), _290923))]]], (1749 ^ _230752) ^ [_291281] : [ssList(_291281), 1752 ^ _230752 : [(1753 ^ _230752) ^ [_291433] : [ssList(_291433), 1756 ^ _230752 : [(1757 ^ _230752) ^ [_291581] : [ssList(_291581), -(app(app(_291281, _291433), _291581) = app(_291281, app(_291433, _291581)))]]]]], (1763 ^ _230752) ^ [_291819] : [ssList(_291819), 1766 ^ _230752 : [(1767 ^ _230752) ^ [_291964] : [ssList(_291964), 1770 ^ _230752 : [(1771 ^ _230752) ^ [] : [nil = app(_291819, _291964), 1774 ^ _230752 : [(1775 ^ _230752) ^ [] : [-(nil = _291964)], (1777 ^ _230752) ^ [] : [-(nil = _291819)]]], (1779 ^ _230752) ^ [] : [-(nil = app(_291819, _291964)), nil = _291964, nil = _291819]]]]], (1789 ^ _230752) ^ [_292582] : [ssList(_292582), -(app(_292582, nil) = _292582)], (1795 ^ _230752) ^ [_292776] : [ssList(_292776), 1798 ^ _230752 : [(1799 ^ _230752) ^ [_292921] : [ssList(_292921), -(nil = _292776), -(hd(app(_292776, _292921)) = hd(_292776))]]], (1809 ^ _230752) ^ [_293228] : [ssList(_293228), 1812 ^ _230752 : [(1813 ^ _230752) ^ [_293376] : [ssList(_293376), -(nil = _293228), -(tl(app(_293228, _293376)) = app(tl(_293228), _293376))]]], (1823 ^ _230752) ^ [_293689] : [ssItem(_293689), 1826 ^ _230752 : [(1827 ^ _230752) ^ [_293831] : [ssItem(_293831), -(_293689 = _293831), geq(_293689, _293831), geq(_293831, _293689)]]], (1841 ^ _230752) ^ [_294210] : [ssItem(_294210), 1844 ^ _230752 : [(1845 ^ _230752) ^ [_294362] : [ssItem(_294362), 1848 ^ _230752 : [(1849 ^ _230752) ^ [_294510] : [ssItem(_294510), -(geq(_294210, _294510)), geq(_294210, _294362), geq(_294362, _294510)]]]]], (1863 ^ _230752) ^ [_294910] : [ssItem(_294910), -(geq(_294910, _294910))], (1869 ^ _230752) ^ [_295098] : [ssItem(_295098), lt(_295098, _295098)], (1875 ^ _230752) ^ [_295287] : [ssItem(_295287), 1878 ^ _230752 : [(1879 ^ _230752) ^ [_295439] : [ssItem(_295439), 1882 ^ _230752 : [(1883 ^ _230752) ^ [_295587] : [ssItem(_295587), -(lt(_295287, _295587)), leq(_295287, _295439), lt(_295439, _295587)]]]]], (1897 ^ _230752) ^ [_295987] : [ssItem(_295987), 1900 ^ _230752 : [(1901 ^ _230752) ^ [_296129] : [ssItem(_296129), leq(_295987, _296129), -(_295987 = _296129), -(lt(_295987, _296129))]]], (1915 ^ _230752) ^ [_296509] : [ssItem(_296509), 1918 ^ _230752 : [(1919 ^ _230752) ^ [_296653] : [ssItem(_296653), 1922 ^ _230752 : [(1923 ^ _230752) ^ [] : [lt(_296509, _296653), 1926 ^ _230752 : [(1927 ^ _230752) ^ [] : [_296509 = _296653], (1929 ^ _230752) ^ [] : [-(leq(_296509, _296653))]]], (1931 ^ _230752) ^ [] : [-(lt(_296509, _296653)), -(_296509 = _296653), leq(_296509, _296653)]]]]], (1941 ^ _230752) ^ [_297264] : [ssItem(_297264), 1944 ^ _230752 : [(1945 ^ _230752) ^ [_297402] : [ssItem(_297402), gt(_297264, _297402), gt(_297402, _297264)]]], (1955 ^ _230752) ^ [_297673] : [ssItem(_297673), 1958 ^ _230752 : [(1959 ^ _230752) ^ [_297825] : [ssItem(_297825), 1962 ^ _230752 : [(1963 ^ _230752) ^ [_297973] : [ssItem(_297973), -(gt(_297673, _297973)), gt(_297673, _297825), gt(_297825, _297973)]]]]]], input).
% 10.83/10.69  ncf('1',plain,[memberP(1979 ^ [], 1994 ^ [])],start(2000 ^ 0)).
% 10.83/10.69  ncf('1.1',plain,[-(memberP(1979 ^ [], 1994 ^ [])), memberP(1976 ^ [], 1994 ^ []), 1976 ^ [] = 1979 ^ [], 1994 ^ [] = 1994 ^ []],extension(232 ^ 1,bind([[_238030, _238032, _238034, _238036], [1994 ^ [], 1994 ^ [], 1979 ^ [], 1976 ^ []]]))).
% 10.83/10.69  ncf('1.1.1',plain,[-(memberP(1976 ^ [], 1994 ^ []))],extension(1998 ^ 2)).
% 10.83/10.69  ncf('1.1.2',plain,[-(1976 ^ [] = 1979 ^ []), 1976 ^ [] = 1982 ^ [], 1982 ^ [] = 1979 ^ []],extension(10 ^ 2,bind([[_231207, _231209, _231211], [1979 ^ [], 1982 ^ [], 1976 ^ []]]))).
% 10.83/10.69  ncf('1.1.2.1',plain,[-(1976 ^ [] = 1982 ^ [])],extension(1991 ^ 3)).
% 10.83/10.69  ncf('1.1.2.2',plain,[-(1982 ^ [] = 1979 ^ []), 1979 ^ [] = 1982 ^ []],extension(4 ^ 3,bind([[_231003, _231005], [1982 ^ [], 1979 ^ []]]))).
% 10.83/10.69  ncf('1.1.2.2.1',plain,[-(1979 ^ [] = 1982 ^ []), 1979 ^ [] = 1985 ^ [], 1985 ^ [] = 1982 ^ []],extension(10 ^ 4,bind([[_231207, _231209, _231211], [1982 ^ [], 1985 ^ [], 1979 ^ []]]))).
% 10.83/10.69  ncf('1.1.2.2.1.1',plain,[-(1979 ^ [] = 1985 ^ [])],extension(1989 ^ 5)).
% 10.83/10.69  ncf('1.1.2.2.1.2',plain,[-(1985 ^ [] = 1982 ^ [])],extension(1993 ^ 5)).
% 10.83/10.69  ncf('1.1.3',plain,[-(1994 ^ [] = 1994 ^ [])],extension(2 ^ 2,bind([[_230896], [1994 ^ []]]))).
% 10.83/10.69  %-----------------------------------------------------
% 10.83/10.69  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------